Analytic rigidity of K-trivial extremal contractions of smooth 3-folds

dc.creatorTamás, Csilla
dc.date2002-04-01
dc.date.accessioned2026-07-07T04:47:22Z
dc.date.available2026-07-07T04:47:22Z
dc.descriptionWe discuss the problem of classifying birational extremal contractions of smooth threefolds where the canonical bundle is trivial along the curves contracted, in the case when a divisor is contracted to a point. We prove the analytic rigidity of the contraction in the case this divisor is normal of degree >= 5 (i.e. we show that the analytic structure of the contraction is completely determined by the isomorphism class of the exceptional locus and its normal bundle in X). This was previously known only in the case of smooth exceptional locus.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0204015
dc.identifierhttp://arxiv.org/abs/math/0204015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63686
dc.subjectAlgebraic Geometry
dc.subject14E05, 14E30, 14J30, 14B10
dc.titleAnalytic rigidity of K-trivial extremal contractions of smooth 3-folds
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